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Finding the Third Proportional to 16,543,095 and 25,027,408.50

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Solution

The third proportional to 16,543,095 and 25,027,408.50 is: 37,862,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543,095 : 25,027,408.50 = 25,027,408.50 : x
  2. Step 2: Convert to fraction form
    16,543,095/25,027,408.50 = 25,027,408.50/x
  3. Step 3: Cross multiply
    16,543,095x = 25,027,408.50 × 25,027,408.50
  4. Step 4: Simplify right side
    16,543,095x = 626,371,176,225,872.25
  5. Step 5: Solve for x
    x = 626,371,176,225,872.25/16,543,095
  6. Step 6: Final answer
    x = 37,862,998.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.